Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 7 - Trigonometric Identities and Equations - 7.1 Fundamental Identities - 7.1 Exercises: 60

Answer

$\csc^2\theta$

Work Step by Step

$\cot^2\theta(1+\tan^2\theta)$ $=\cot^2\theta*\sec^2\theta$ $=\frac{\cos^2\theta}{\sin^2\theta}*\frac{1}{\cos^2\theta}$ $=\frac{1}{\sin^2\theta}$ $=\csc^2\theta$
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